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We study solutions of type IIB string theory dual to ${\cal N}=4$supersymmetric Yang-Mills theory on half of $\mathbb{R}^{3,1}$ coupled toholographic three-dimensional superconformal field theories (SCFTs) at the edgeof this half-space. The dual geometries are asymptotically $AdS^5 \times S^5$with boundary geometry $\mathbb{R}^{2,1} \times \mathbb{R}^+$, with ageometrical end-of-the-world (ETW) brane cutting off the other half of theasymptotic region of the would-be Poincar\'e $AdS^5 \times S^5$. We show thatby choosing the 3D SCFT appropriately, this ETW brane can be pushed arbitrarilyfar towards the missing asymptotic region, recovering the "missing" half ofPoincar\'e $AdS^5 \times S^5$. We also show that there are 3D SCFTs whose dualincludes a wedge of Poincar\'e $AdS^5 \times S^5$ with an angle arbitrarilyclose to $\pi$, with geometrical ETW branes on either side.

Finding $AdS^{5} \times S^{5}$ in 2+1 dimensional SCFT physics